Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 32 and 4536.

**Answer**

$32=({2}^{5})$

$4536=({2}^{3})({3}^{4})(7)$

The LCM of 32 and 4536 is the product of the largest powers of each prime factor in both.

Thus the LCM of 32 and 4536

$=({2}^{5})({3}^{4})(7)$

$=18144$